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Covering Groups of Nonconnected Topological Groups and 2-Groups. (arXiv:1709.09728v1 [math.QA])
来源于:arXiv
We investigate the universal cover of a Lie group that is not necessarily
connected. Its existence as a Lie group is governed by a Taylor cocycle, an
obstruction in 3-cohomology. Alternatively, a Lie group can be thought of as a
Lie 2-group, and there is a natural notion of universal cover in this context.
The splitness of this universal cover is also governed by an obstruction in
3-cohomology, a Sinh cocycle. We give explicit formulas for both obstructions
and show that they are inverse of each other. 查看全文>>
